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Class 2 (2nd Engineer) MET 📅 Oct 2018

Exam Question

(a) What is back emf? Derive the relation for the back emf and the supplied voltage in terms of ammature resistance. (6)

(b) A three-phase induction motor is wound for four poles and is supplied from a 50 Hz system.

Calculate: (10)

(i) The synchronous speed

(ii) The speed of the rotor when the slip is 4 per cent

(iii) The rotor frequency when the speed of the rotor is 600 r/min.

Exam question diagram

Reference Answer

(a) Back electromotive force (back EMF, Eb​) is the voltage generated in the armature of a DC motor when it rotates and cuts the magnetic flux. By Fleming's Right-Hand Rule , this induced emf opposes the applied voltage V, as per Lenz's law. Back EMF acts as a self-regulating mechanism that limits the armature current when the motor is running.
Consider a shunt motor: 
$$V\:=\:Applied\:voltage$$
$$I\:=\:Current\:flowing\:through\:the\:circuit$$

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